There are still a lot of 747 classics and DC-10s out there. I happen to fly the former. We fly up to 12 hours -- which will cover virtually any Atlantic leg and most Pacific legs (except LAX-ICN upwind) with a 3-man crew. Makes no sense that 2 Pilots + 1 FE fly 12 hours, while 2 Pilots alone only can fly 8. Nobody gets a break in either case!
I was on the 744 for 6+ years, and we only had 3-man crews for 8-12 hour legs, and 4-man crews for 12+ hour legs. Most of our Atlantic legs were over 8 hours, but ICN-ANC was well under it.
Bottom line is, the company crews to FAA minimums.